Re: Simplification to Partial Fractions
- To: mathgroup at smc.vnet.net
- Subject: [mg59699] Re: [mg59676] Simplification to Partial Fractions
- From: "Jon Palmer" <jonathan.palmer at new.oxford.ac.uk>
- Date: Thu, 18 Aug 2005 00:16:32 -0400 (EDT)
- Reply-to: <jonathan.palmer at new.oxford.ac.uk>
- Sender: owner-wri-mathgroup at wolfram.com
At first glance I can't make PolynomialReduce do what I need. Here is an example problem. Take the expression: u1 = A + (B*(x^2 - y^2)^2)/(x^2 + y^2) + (C*(y^2 - z^2)^2)/(y^2 + z^2) + (D*(-x^2 + z^2)^2)/(x^2 + z^2) Now u2 = Factor[u1] How do you Simplify u2 back to the form of u1? Many thanks Jon Palmer > -----Original Message----- > From: Andrzej Kozlowski [mailto:akoz at mimuw.edu.pl] To: mathgroup at smc.vnet.net > Sent: Wednesday, August 17, 2005 11:14 AM > Cc: mathgroup at smc.vnet.net > Subject: [mg59699] Re: [mg59676] Simplification to Partial Fractions > > > On 17 Aug 2005, at 10:00, Jon Palmer wrote: > > > I was wondering if someone can help with a Partial Fraction problem. > > > > I have a calculated expression, u, which is a quotient of two > > polynomials in > > three variables x, y & z. > > > > > > u = P(x,y,z)/Q(x,y,z) > > > > > > I know that the quotient, when simplified, is a sum of partial > > fractions of > > the form > > > > u = R(x,y,z) + S(x,y,z)/(x^2 +y^2) + T(x,y,z)/(y^2 +z^2) + U > > (x,y,z)/(z^2 > > +x^2) > > > > > > Is there a way to simplify the expression into the parial fraction > > form? > > > > I have tried various combinations of Simplify, Apart, Collect etc. > > and can't > > find a method that works. Any help would be much appreciated. > > > > Thanks > > Jon Palmer > > > > > > It should be possible to do this using PolynomialReduce but you would > have to post the actual problem before I could tell for sure. > > Andrzej Kozlowski
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